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Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)....

Prove that `6^(1//2)xx6^(1//4)xx6^(1//8)...oo=6.`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)+....+n(1-x)(1-2x) ...

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  3. Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)...oo=6.

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  4. Three numbers are in G.P. whose sum is 70. If the extremes be each mul...

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  5. If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n d z=c+c/(r^2)+c/(r^4)+o...

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  7. If each term of an infinite G.P. is twice the sum of the terms foll...

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  8. The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))...

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  10. If the set of natural numbers is partitioned into subsets S1={1},S2={2...

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  11. If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...

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  14. If sum(r=1)^nTr =n/8(n+1)(n+2)(n+3) then find sum(r=1)^n1/Tr

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